12 citations · 12 across the 4 of their papers we have counts for
4 papers
Krein's trace theorem revisited
Denis Potapov, Fedor Sukochev, Dmitriy Zanin
We supply the first proof of Krein's Trace Theorem which does not use complex analysis. Our proof holds for~-finite von Neumann algebras of type II and unbounded p…
Singular traces and perturbation formulae of higher order
Denis Potapov, Fedor Sukochev, Aleksandr Usachev +1
Let be self-adjoint operators such that belongs to the weak trace class ideal. We prove higher order perturbation formula $$τ\big(f(H+V)-\sum_{j=0}^{n-1}\frac{1}{j!}\fra…
A Jost-Pais-type reduction of Fredholm determinants and some applications
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the analog of semi-separable integral kernels in $\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x'), & a<x'< x< b, \\ F_2(x)G_2(x'), & a<x<x'<b, {cases} {equation…
On the Witten index in terms of spectral shift functions
Alan Carey, Fritz Gesztesy, Denis Potapov +2
We study the model operator in associated with the operator path , wher…